If size isn't an issue, the note II, if it is then look at the following:
- HTC one XL, X+, X and one S
- GS 3
- RAZR I
Screen is personal preference.
LCD
pure whites, natural colours, sharper/clearer, more power efficient on bright colours
VS
SAMOLED
true blacks, saturated colours and better viewing angles overall, more power efficient on dark colours
Design is personal preference.
Software skin is personal preference. The RAZR I is as close to stock android that you will get.
Build and perceived quality in order of best (IMO)
1. one s (aluminium uni-body) RAZR I (aluminium frame with a kevlar back)
2. One X+, XL, X (polycarbonate uni-body with a nice finish like the nokia lumia)
3. note II, GS 3 (glossy brushed plastic)
Storage:
Note II and GS 3 have 16GB internal storage and a SD slot
RAZR I has 8GB internal storage and a SD slot
One X+ has 64 GB internal storage and no SD slot
One XL and X has 32GB internal storage and no SD slot
One S has 16GB internal storage (which is really about 10-11GB for music, videos etc. and 2.21GB for apps) and no SD slot
Hardware:
1. one S, XL and GS 3 LTE along with the note II
2. one X+, X
3. RAZR I
One XL and one S use the dual core S4, which is very good and overall better than the exynos quad chipset used in the note II and GS 3, but the note II and GS 3 LTE have an extra GB of RAM
One X+ and X uses tegra 3, which is well.......pretty poop in comparison

But good enough for most tasks.
The RAZR I uses uses a single core intel CPU (although it supports hyer threading, so in theory it acts as a dual core CPU) although the performance is actually very good.
Camera:
All (except the RAZR I, it doesn't hold up very well against the GS 3, one S etc.) are more or less the same, some perform better in certain scenarios where as the others would perform better in other conditions. The 1080P recording is much better on the GS 3 and note II in terms of smoothness and light metering. Camera UI and features is better on the one series.
Audio:
They are all more or less the same (except the RAZR I, it is worse than all of them), unless you are an audiophile I doubt you will notice the difference
NLED:
The RAZR I, note II and GS 3 have a far better NLED over the one series.
Battery:
The note II is the best followed by the RAZR I, XL, S and then the GS 3. Not sure about the X+, but it would be more or less the same as the GS 3.
Also, the note II and GS 3 are the only phones mentioned here that have a removable battery.
I wouldn't worry about 4G, 3G is still more than good enough for now, but the XL, note II support it and there is a LTE GS 3 model (which also comes with another GB of RAM)